Search a number
-
+
122100211101201 = 32311069159867041
BaseRepresentation
bin11011110000110010101011…
…101101011010111000010001
3121000022122222122111021120020
4123300302223231122320101
5112000442213020214301
61111404021305334053
734501310025042144
oct3360625355327021
9530278878437506
10122100211101201
11359a54550255a3
121183ba09797329
135319001143918
142221978a1205b
15e1b19016b436
hex6f0cabb5ae11

122100211101201 has 16 divisors (see below), whose sum is σ = 169893902874240. Its totient is φ = 77853969543680.

The previous prime is 122100211101149. The next prime is 122100211101217. The reversal of 122100211101201 is 102101112001221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122100211101201 - 27 = 122100211101073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122100211101241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79169760 + ... + 80697281.

It is an arithmetic number, because the mean of its divisors is an integer number (10618368929640).

Almost surely, 2122100211101201 is an apocalyptic number.

It is an amenable number.

122100211101201 is a deficient number, since it is larger than the sum of its proper divisors (47793691773039).

122100211101201 is a wasteful number, since it uses less digits than its factorization.

122100211101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159878136.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122100211101201 its reverse (102101112001221), we get a palindrome (224201323102422).

The spelling of 122100211101201 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred one thousand, two hundred one".

Divisors: 1 3 23 69 11069 33207 254587 763761 159867041 479601123 3676941943 11030825829 1769568276829 5308704830487 40700070367067 122100211101201